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含变系数或强迫项的KdV方程的新解

付遵涛 刘式达 刘式适 赵强

付遵涛, 刘式达, 刘式适, 赵强. 含变系数或强迫项的KdV方程的新解[J]. 应用数学和力学, 2004, 25(1): 67-73.
引用本文: 付遵涛, 刘式达, 刘式适, 赵强. 含变系数或强迫项的KdV方程的新解[J]. 应用数学和力学, 2004, 25(1): 67-73.
FU Zun-tao, LIU Shi-da, LIU Shi-kuo, ZHAO Qiang. New Exact Solutions to KdV Equations With Variable Coefficients or Forcing[J]. Applied Mathematics and Mechanics, 2004, 25(1): 67-73.
Citation: FU Zun-tao, LIU Shi-da, LIU Shi-kuo, ZHAO Qiang. New Exact Solutions to KdV Equations With Variable Coefficients or Forcing[J]. Applied Mathematics and Mechanics, 2004, 25(1): 67-73.

含变系数或强迫项的KdV方程的新解

基金项目: 国家自然科学基金(40175016);国家自然科学基金(40035010)
详细信息
    作者简介:

    付遵涛(1970- )男,黑龙江人,副教授,博士(联系人.Tel:86-10-62767184;E-mail:fuzt@pku.edu.cn).

  • 中图分类号: O175;O411

New Exact Solutions to KdV Equations With Variable Coefficients or Forcing

  • 摘要: Jacobi椭圆函数展开法被推广并用于求解另一种形式的KdV方程的新的精确解,所求解的这类KdV方程包括一种典型的变系数的KdV方程和具有强迫项(随机项)的KdV方程.用这种方法得到的新的类周期解在极限条件下可以退化为类孤立波解或类冲击波解.
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出版历程
  • 收稿日期:  2002-08-28
  • 修回日期:  2003-07-31
  • 刊出日期:  2004-01-15

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